Ledermann DENSITY DETERMINATION: The study of chemistry involves not only observing changes in matter, but also measuring those changes. In fact, most chemical principles cannot be fully understood without obtaining and analyzing some quantitative data. Careful attention should be given to the degree of uncertainty in your measurements. Record only those digits which are significant, and use only those digits in your calculations. The accuracy of your methods can be reported with your results in terms of percent of error. The percent error in calculations and measurements is a comparison of the differences between experimental results and theoretical values, expressed as a percentage. Percentage error can be determined as follows: % error = experimental value – theoretical value theoretical value X 100 A useful way of comparing substances is to compare their densities. By carefully measuring the mass and volume of two substances, their densities can be calculated as follows: density = mass volume OBJECTIVES Determine the density of different substances from mass and volume measurements. Calculate the percentage error in your results. EQUIPMENT graduated cylinder (50 ml or 100 ml) electronic balance beaker (50 ml or 100 ml) ruler fishing line attached to a rubber stopper PROCEDURE A. Density of Water 1. Using a clean small beaker, obtain about 30 ml of distilled water. 2. Place your 50 ml or 100 ml graduated cylinder on the electronic balance and RE-ZERO the balance. 3. With your graduated cylinder on the balance, slowly add distilled water until you have approximately 20 g of water in the graduated cylinder. Record the mass of the water to the nearest 0.01g. Do NOT dump the water out! 4. Take the graduated cylinder with the water, to your lab table. Read the bottom of the meniscus as shown in Figure F-1. Record the volume of the water on your answer sheet to the nearest 0.1 ml. Then pour the water in the sink. Figure F-1. Reading liquid volume. B. Density of a Solid 1. Obtain a rubber stopper from your teacher and measure its mass. Record the mass on your answer sheet to the nearest 0.01g. 2. Fill a 50 ml or 100 ml graduated cylinder about one-half full of tap water and read the volume to the nearest 0.1 ml. 3. Carefully immerse (dunk) the solid in the water in the cylinder. Read the new volume to the nearest 0.1 ml. 4. Calculate the volume of the object and record it to the nearest 0.1 ml. 5. Return the solid to a container designated by your teacher and pour the water in the sink. C. Density of an unknown solid 1. Choose a metal block from the front counter. 2. Find the mass of the block to the nearest .01 grams and record it. 3. Use the formula length x width x height to determine the volume of the cube. Measure the length, width, and height in cm using a ruler. Measure to the nearest .01 cm. 4. Calculate the density of the block. 5. Try to identify your block with the information on the table below. 6. If there is time, try to identify a different block. Substance Aluminum Brass Copper Iron Nickel Density 2.7 g/cm3 8.4 g/cm3 8.9 g/cm3 7.8 g/cm3 8.9 g/cm3 Substance Zinc Magnesium Lead Gold 6.9 1.78 11.4 18.9 Density g/cm3 g/cm3 g/cm3 g/cm3 Ledermann NAME DENSITY DETERMINATION: ____________________________________ ANALYSIS 1. Use the data collected in Parts A and B to calculate the mass per unit volume density for water and the unknown solid. Remember Density = mass/volume PART A MASS Mass of Water = _____________ _______ NUMBER B LABEL Mass of solid object= ____________ ______ NUMBER C LABEL Mass of block____________ ________ Number Volume Density ___________ ______ _________ ______ NUMBER LABEL ___________ ______ NUMBER LABEL NUMBER LABEL _________ ______ NUMBER LABEL Volume of block ________________ _________ label number label Density of block (Show your calculations!)____________________ Identity of the block. We believe the block is made out of _____________________ because… CONCLUSIONS 1. Using the formula in the introduction of this lab, calculate the percentage error, for Part A of your results. The theoretical density is 1.00 g/ml. Percent error = 2. What are the major sources of error in Part A of your experiment? 3. The method used to find the volume of the solid in part B will not work for all solids. What are some (2 or 3) problems that could arise that would require you to use a different method to find the volume of the solid? Suggest an alternate method of determining the density for a solid with one of the problems that you described above.